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Simplifying In(x + 5) + (x + -5) = (4x + 7) Reorder the terms: nI(5 + x) + (x + -5) = (4x + 7) (5 * nI + x * nI) + (x + -5) = (4x + 7) (5nI + nxI) + (x + -5) = (4x + 7) Reorder the terms: 5nI + nxI + (-5 + x) = (4x + 7) Remove parenthesis around (-5 + x) 5nI + nxI + -5 + x = (4x + 7) Reorder the terms: -5 + 5nI + nxI + x = (4x + 7) Reorder the terms: -5 + 5nI + nxI + x = (7 + 4x) Remove parenthesis around (7 + 4x) -5 + 5nI + nxI + x = 7 + 4x Solving -5 + 5nI + nxI + x = 7 + 4x Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5nI + nxI + 5 + x = 7 + 5 + 4x Reorder the terms: -5 + 5 + 5nI + nxI + x = 7 + 5 + 4x Combine like terms: -5 + 5 = 0 0 + 5nI + nxI + x = 7 + 5 + 4x 5nI + nxI + x = 7 + 5 + 4x Combine like terms: 7 + 5 = 12 5nI + nxI + x = 12 + 4x Add '-1x' to each side of the equation. 5nI + nxI + x + -1x = 12 + 4x + -1x Combine like terms: x + -1x = 0 5nI + nxI + 0 = 12 + 4x + -1x 5nI + nxI = 12 + 4x + -1x Combine like terms: 4x + -1x = 3x 5nI + nxI = 12 + 3x Reorder the terms: -12 + 5nI + nxI + -3x = 12 + 3x + -12 + -3x Reorder the terms: -12 + 5nI + nxI + -3x = 12 + -12 + 3x + -3x Combine like terms: 12 + -12 = 0 -12 + 5nI + nxI + -3x = 0 + 3x + -3x -12 + 5nI + nxI + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 5nI + nxI + -3x = 0 The solution to this equation could not be determined.
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